Question

Miguel plots points A, B, and C in the coordinate plane.

PART A What is the distance
between points A and B?
Explain your reasoning.
B(-6,-2)
An equilateral triangle has all three sides of equal length.
PART B Is AABC an equilateral triangle? Explain your reasoning.
-A(-3,2)-
~
2
0
2
4
C(0, -2)

Answer 1

part a: 5

part b: no, ABC is not an equilateral triangle

Explanation:

part a: if you do the distance formula for points A and B, you get 5

part b: using the distance formula again, points A to B and points A to C are both 5, but points B to C is 6, therefore it's not equilateral because all the sides have to be the same length